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Balancing quasi-Bragg regime and velocity selectivity in quantum-enhanced atom interferometry

Christian M. Karres*,†, Daniel Derr, and Enno Giese

  • *Present address: Johannes Gutenberg-Universität Mainz, QUANTUM, Institut für Physik, Staudingerweg 7, 55128 Mainz, Germany.
  • †Contact author: christian-karres@gmx.de, karresch@uni-mainz.de

Phys. Rev. Research 8, 033247 – Published 31 August, 2026

DOI: https://doi.org/10.1103/wr69-9hr5

Abstract

Spin squeezing in atomic ensembles enables atom interferometry with sensitivities below the shot-noise limit, but the associated entanglement is highly susceptible to loss, making imperfections in atom optics a central limitation. Bragg diffraction is an established technique for driving transitions between atomic momentum states and enables large-momentum transfer through higher-order diffraction while preserving the internal state. However, it is intrinsically limited by two competing mechanisms: Short light pulses induce parasitic diffraction into off-resonant orders beyond an effective two-level description, while long pulses face velocity selectivity. We derive analytical expressions in a second-quantized framework for the atom optics and phase uncertainty of a Mach-Zehnder interferometer including these effects. We demonstrate that sub-shot-noise scaling is achieved only in a regime of intermediate pulse duration. Furthermore, we show that deleterious effects of higher-order diffraction are partially mitigated by optimizing the input quantum state.

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